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Finding the Third Proportional to 15,459 and 32,917.50

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Solution

The third proportional to 15,459 and 32,917.50 is: 70,092.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,459 : 32,917.50 = 32,917.50 : x
  2. Step 2: Convert to fraction form
    15,459/32,917.50 = 32,917.50/x
  3. Step 3: Cross multiply
    15,459x = 32,917.50 × 32,917.50
  4. Step 4: Simplify right side
    15,459x = 1,083,561,806.25
  5. Step 5: Solve for x
    x = 1,083,561,806.25/15,459
  6. Step 6: Final answer
    x = 70,092.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.